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陕西省西安市长安区某校2024-2025学年第一学期八年级收心考试题(数学)试卷答案
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payingtribute(致敬)toFrance'srichhistory..21.WhatisspecialaboutDrottningholmPalace?A.Itisopentothepublic.B.Itisredecorated.C.It'stheresidenceofFrenchroyalfamily.D.It'saUNESCOWorldHeritageSite.22.WhatdotheattractionsofRoyalPalaceofMadridinclude?A.Thepaintinggallery.B.Ahistorymuseum.C.Beautifulstaterooms.D.Animpressivecastle.23.WhatcanwelearnaboutPalaceofVersailles?A.ThechangingoftheGuardceremony.B.TheprocessofFrenchRevolution.C.ThehistoryofSpanishroyals.D.Thewayoftheformerroyals'life.BGilliamwasborninTupelo,Mississippi,in1933astheseventhchildofeighttoafatherwhoworkedontherailroadandahomemakingmother.HeattendedtheUniversityofLouis-villeforbothbachelor'sandmaster'sdegrees,butin1962hemovedtoWashington,D.C.,wherehelivedandhadhisstudiofortherestofhislife.HebecameoneoftheleadingartistsoftheWashingtonColorSchool.Hewasveryinterestedinfreeinghispaintingsfromthelimitofcanvases(andframes.Instead,inhisDrapeworksofthe1960s,hetookunstretchedcanvasesandhungthemfromceilingsorpinned(themtowalls.Eachtimehiswork-partpainting,partsculpture-wasshowninanexhibition,ithungdifferently,neverthesamewaytwice.Ina2018MorningEditionprofile,GilliamexplainedthattheintentionbehindhisDrapeworkwas"todeveloptheideaofmovementintoshapes"-andthathewasinspiredbylaundry(洗衣店)hangingfromaclothesline.Hisworkisrepresentedinthecollectionsofsomeoftheworld'smostcelebratedmuse-ums,includingtheArtInstituteofChicago;theTateModerninLondon;andtheMuseed'ArtModerneinParis.In2015,hewasawardedStateDepartment'sMedalofArtsLifetimeAchievementAward.Inthe2018MorningEditionprofile,thethen84-year-oldGilliamsaidthathefeltthathewasinhisprime,despitehealthchallenges."I'veneverfeltbetterinmylife.Iliveforthisperiodofbeinginthestudioandactuallyworking."【高二英语第4页（共10页）】·23-151B·
分析由f′（x）≥k＞0，可得f（x）在（0，+∞）递增，可令g（x）=f（x）-kx，求出导数，判断单调性，再由函数零点存在定理，即可得证．
解答证明：由f′（x）≥k＞0，可得
f（x）在（0，+∞）递增，
可令g（x）=f（x）-kx，
由g′（x）=f′（x）-k≥0，
即有g（x）在（0，+∞）递增，
g（x）＞g（0）=f（0），
则有f（x）-kx＞f（0），
即f（x）＞kx+f（0），
由f（0）＜0，kx＞0，当x→+∞，kx→+∞，
使得kx+f（0）＞0，由f（x）在（0，+∞）递增，
根据函数零点存在定理，
可得f（x）在（0，+∞）内有且仅有一个零点．
点评本题考查导数的运用：求单调性，考查函数零点存在定理的运用，属于基础题．
